| 部分充液卫星的非线性稳定性和动力学分析 |
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| 引用本文： | 朱金林,岳宝增.部分充液卫星的非线性稳定性和动力学分析[J].动力学与控制学报,2004,2(3):1-5. |
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| 作者姓名： | 朱金林 岳宝增 |
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| 作者单位： | 北京理工大学理学院力学系,北京,100081;北京理工大学理学院力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目(10272022)~~ |
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| 摘 要： | 针对简化了的部分充液卫星模型，分析了系统的非线性稳定性，指出了系统发生Hopf分岔的临界参数，并用中心流形方法研究了其稳定性．最后，通过相平面轨迹和基于最大Lyapunov指数的参数图，分析了系统的非线性机制．
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| 关 键 词： | 稳定性 分岔 混沌 Lyapunov指数 充液卫星 |
| 收稿时间： | 7/3/2004 12:00:00 AM |
| 修稿时间： | 2004年7月3日 |
Nonlinear stability and dynamics analysis of a satellite with partially filled liquid |
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| Zhu Jinlin and Yue Baozeng.Nonlinear stability and dynamics analysis of a satellite with partially filled liquid[J].Journal of Dynamics and Control,2004,2(3):1-5. |
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| Authors: | Zhu Jinlin and Yue Baozeng |
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| Abstract: | This paper studied the nonlinear stability and dynamics behaviors of a simplified partially-filled satellite. The sufficient condition for the stability of the satellite was obtained using Lyapunov direct method. The critical parameter for Hopf bifurcation was obtained and the stability of Hopf bifurcation was discussed. Moreover, By the track in the phase space and the largest Lyapunov exponent, the nonlinear mechanism of the system was analyzed. |
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| Keywords: | stability bifurcation chaos Lyapunov exponent liquid-filled satellite |
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